Results 21 to 30 of about 1,202 (263)
Polyadic rings of p-adic integers
Symmetry, 2022 In this note we, first, recall that the sets of all representatives of some special ordinary residue classes become $\left( m,n\right) $-rings. Second, we introduce a possible $p$-adic analog of the residue class modulo a $p$-adic integer. Then, we find the relations which determine, when the representatives form a $\left( m,n\right) $-ring.
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Algebraic Structure of Neutrosophic Duplets in Neutrosophic Rings
Neutrosophic Sets and Systems, 2018 The concept of neutrosophy and indeterminacy I was introduced by Smarandache, to deal with neutralies. Since then the notions of neutrosophic rings, neutrosophic semigroups and other algebraic structures have been developed.
Vasantha W.B +2 more
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Nondefinability of Rings of Integers in Most Algebraic Fields [PDF]
Notre Dame Journal of Formal Logic, 2021 We show that the set of algebraic extensions $F$ of $\mathbb{Q}$ in which $\mathbb{Z}$ or the ring of integers $\mathcal{O}_F$ are definable is meager in the set of all algebraic extensions.
Philip Dittmann, Arno Fehm
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Finding Minimal Units In Several Two-Fold Fuzzy Finite Neutrosophic Rings [PDF]
Neutrosophic Sets and SystemsIn this paper, we have defined the concept of minimal units in finite two-fold fuzzy neutrosophic rings modulo integers as a generalization of classical elements of the group of units of the mentioned neutrosophic rings.
Raed Hatamleh, Ayman Hazaymeh
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Bounds for Coding Theory over Rings
Entropy, 2022 Coding theory where the alphabet is identified with the elements of a ring or a module has become an important research topic over the last 30 years. It has been well established that, with the generalization of the algebraic structure to rings, there is
Niklas Gassner +3 more
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On some integral representations of groups and global irreducibility. [PDF]
International Journal of Group Theory, 2018 Arithmetic aspects of integral representations of finite groups and their irreducibility are considered with a focus on globally irreducible representations and their generalizations to arithmetic rings.
Dmitry Malinin
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IEEE Access, 2023 A code over Gaussian or Eisenstein integer residue ring is an additive group of vectors with entries in this integer residue ring which is closed under the action of constant multiplication by the Gaussian or Eisenstein integers. In this paper, we define
Hajime Matsui
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Neutrosophic triplets in some neutrosophic rings
Cumhuriyet Science Journal, 2020 In this paper, some mistakes about the neutrosophic triplets of some neutrosophic rings in the literature are pointed out and corrected. For this purpose, the neutrosophic triplets in neutrosophic rings , and where Z, Q and R denote the ring of ...
Doğukan Ozan, Yilmaz Çeven
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Approximatting rings of integers in number fields [PDF]
Journal de théorie des nombres de Bordeaux, 1994 In this paper we study the algorithmic problem of finding the ring of integers of a given algebraic number field. In practice, this problem is often considered to be well-solved, but theoretical results indicate that it is intractable for number fields that are defined by equations with very large coefficients.
Lenstra, H.W., Buchmann, J.A.
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Tripotents: a class of strongly clean elements in rings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 Periodic elements in a ring generate special classes of strongly clean elements. In particular, elements b such that b = b3+, which are called tripotents and include idempotents, negative of idempotents and order 2 units, are strongly clean.
Călugăreanu Grigore
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